Another oven installation

[vidriduch]

Hi, we are replacing our old hob and cooker and I need a bit of help, to make sure all is safe. This is the oven and hob specs:

AEG IKB64401FB 60cm Induction Hob

Amperage 32A
Aperture needed H4.4 x W56 x D49cm
Burner power Left front - Power/Diameter: 2300/3700W/210mm. Rear - Power/Diameter: 1800/2800W/180mm. Right front - Power/Diameter: 1400/2500W/145mm. Right rear - Power/Diameter: 1800/280mm.
Cable included NO
Dimensions H4.4 x W59 x D52cm
Flame failure safety device NO
Fuel type Electric
Hob fuel Electric
Hob type Induction Hob
Model name / number IKB64401FB
Number of burners 4
Plug included NO
Product code 89000509
Total load rating (electrical) 7.35kW
Type Integrated
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AEG BES355010M Built In Electric Single Oven with Steam Function, Stainless Steel

Amperage 16A
Aperture needed H59 x W56 x D55cm
Dimensions H59.4 x W59.5 x D56.7cm
Fuel type Electric
Grill 2950W
Grill fuel type Electric
Main oven energy consumption- convection 0.99kWh
Main oven energy consumption- forced air 0.81kWh
Model name / number BES355010M
Oven format Single
Product code 89030508
Total load rating (electrical) 3.2kW
Type Integrated

The old oven and hob (both electric) are on their own circuit, backed by RCB0 32A and 6mm cable.
They are connected: RCB0 --> 45A DP switch --> oven & cooker.

Question is, can I just replace the appliances, assuming the wiring ill be sufficient?

The old oven is rated 13A.

Thank you very much